Least Common Multiple (LCM) of 135 and 136
The least common multiple (LCM) of 135 and 136 is 18360.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 135 and 136?
First, calculate the GCD of 135 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 136 = 0 remainder 135 |
| 2 | 136 ÷ 135 = 1 remainder 1 |
| 3 | 135 ÷ 1 = 135 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 38 | 1178 |
| 173 and 116 | 20068 |
| 189 and 61 | 11529 |
| 171 and 182 | 31122 |
| 71 and 17 | 1207 |